Question

Complete the two-column the proof.

Given: is complementary to .
bisects .
Prove: is complementary to .

Answer 1

Statement Reason

<1 is complementary to <2 Given
BD bisects <ADC Given
m<1 + m<2 = 90 Definition of complementary angles
m<2 = m<3 Definition of bisection
m<1 + m<3 = 90 Substitution property of equality
<1 is complementary to <3 Definition of complementary angles